Contents
A closed-form expression for the depolarization dyadic is given for a cubic volume. With this dyadic, the singularity associated with the electromagnetic field calculation within the source region can be avoided. For the cubic volume, the dyadic depends on the position of the field point, unlike in the case of ellipsoidal volumes. The behaviour of the dyadic along the cube axes and diagonals is illustrated graphically.
Übersicht
Der Depolarisationstensor eines kubischen Volumens wird in geschlossener Form ausgedrückt. Mit diesem Tensor kann die Singularität vermieden werden, die bei der Berechnung des elektromagnetischen Feldes im Quellgebiet vorkommt. Anders als im Falle eines elliptischen Volumens ist der Tensor für einen kubischen Hohlraum von der Position innerhalb des Volumens abhängig. Das Verhalten des Tensors entlang der Achsen und entlang der Diagonalen des Würfels ist in graphischer Form dargestellt.
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Avelin, J., Arslan, A.N., Brännback, J. et al. Electric fields in the source region: the depolarization dyadic for a cubic cavity. Electrical Engineering 81, 199–202 (1998). https://doi.org/10.1007/BF01233270
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DOI: https://doi.org/10.1007/BF01233270